Download or read book Programming Language Support for Geometric Computations written by Mark G. Segal and published by . This book was released on 1990 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: The actual coordinate computations are hidden and carried out automatically, resulting in a precise program looking much like its mathematical counterpart. These constructs are suitable for programming a range of geometric computations. Examples show their use in the calculations of linear geometry, computer graphics, finite element analysis, relativistic kinematics and robotics. A compiler for the language constructs can check geometric expression syntax and semantics. It can also recognize special operators and operands (diagonal or sparse matrices, for instance) so that unnecessary and possibly inaccurate floating-point operations are automatically avoided.
Download or read book Geometric Algebra for Computer Science written by Leo Dorst and published by Elsevier. This book was released on 2010-07-26 with total page 664 pages. Available in PDF, EPUB and Kindle. Book excerpt: Until recently, almost all of the interactions between objects in virtual 3D worlds have been based on calculations performed using linear algebra. Linear algebra relies heavily on coordinates, however, which can make many geometric programming tasks very specific and complex-often a lot of effort is required to bring about even modest performance enhancements. Although linear algebra is an efficient way to specify low-level computations, it is not a suitable high-level language for geometric programming. Geometric Algebra for Computer Science presents a compelling alternative to the limitations of linear algebra. Geometric algebra, or GA, is a compact, time-effective, and performance-enhancing way to represent the geometry of 3D objects in computer programs. In this book you will find an introduction to GA that will give you a strong grasp of its relationship to linear algebra and its significance for your work. You will learn how to use GA to represent objects and perform geometric operations on them. And you will begin mastering proven techniques for making GA an integral part of your applications in a way that simplifies your code without slowing it down. * The first book on Geometric Algebra for programmers in computer graphics and entertainment computing * Written by leaders in the field providing essential information on this new technique for 3D graphics * This full colour book includes a website with GAViewer, a program to experiment with GA
Download or read book The Geometric Supposer written by Judah L. Schwartz and published by Routledge. This book was released on 2013-06-17 with total page 267 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is a case study of education reform and innovation using technology that examines the issue from a wide variety of perspectives. It brings together the views and experiences of software designers, curriculum writers, teachers and students, researchers and administrators. Thus, it stands in contrast to other analyses of innovation that tend to look through the particular prisms of research, classroom practice, or software design. The Geometric Supposer encourages a belief in a better tomorrow for schools. On its surface, the Geometric Supposer provides the means for radically altering the way in which geometry is taught and the quality of learning that can be achieved. At a deeper level, however, it suggests a powerful metaphor for improving education that can be played out in many different instructional contexts.
Download or read book Intelligent Learning Environments The Case of Geometry written by Jean-Marie Laborde and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 285 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a thoroughly revised result, updated to mid-1995, of the NATO Advanced Research Workshop on "Intelligent Learning Environments: the case of geometry", held in Grenoble, France, November 13-16, 1989. The main aim of the workshop was to foster exchanges among researchers who were concerned with the design of intelligent learning environments for geometry. The problem of student modelling was chosen as a central theme of the workshop, insofar as geometry cannot be reduced to procedural knowledge and because the significance of its complexity makes it of interest for intelligent tutoring system (ITS) development. The workshop centred around the following themes: modelling the knowledge domain, modelling student knowledge, design ing "didactic interaction", and learner control. This book contains revised versions of the papers presented at the workshop. All of the chapters that follow have been written by participants at the workshop. Each formed the basis for a scheduled presentation and discussion. Many are suggestive of research directions that will be carried out in the future. There are four main issues running through the papers presented in this book: • knowledge about geometry is not knowledge about the real world, and materialization of geometrical objects implies a reification of geometry which is amplified in the case of its implementation in a computer, since objects can be manipulated directly and relations are the results of actions (Laborde, Schumann). This aspect is well exemplified by research projects focusing on the design of geometric microworlds (Guin, Laborde).
Download or read book Geometric Tools for Computer Graphics written by Philip Schneider and published by Elsevier. This book was released on 2002-10-10 with total page 1053 pages. Available in PDF, EPUB and Kindle. Book excerpt: Do you spend too much time creating the building blocks of your graphics applications or finding and correcting errors? Geometric Tools for Computer Graphics is an extensive, conveniently organized collection of proven solutions to fundamental problems that you'd rather not solve over and over again, including building primitives, distance calculation, approximation, containment, decomposition, intersection determination, separation, and more. If you have a mathematics degree, this book will save you time and trouble. If you don't, it will help you achieve things you may feel are out of your reach. Inside, each problem is clearly stated and diagrammed, and the fully detailed solutions are presented in easy-to-understand pseudocode. You also get the mathematics and geometry background needed to make optimal use of the solutions, as well as an abundance of reference material contained in a series of appendices. Features - Filled with robust, thoroughly tested solutions that will save you time and help you avoid costly errors. - Covers problems relevant for both 2D and 3D graphics programming. - Presents each problem and solution in stand-alone form allowing you the option of reading only those entries that matter to you. - Provides the math and geometry background you need to understand the solutions and put them to work. - Clearly diagrams each problem and presents solutions in easy-to-understand pseudocode. - Resources associated with the book are available at the companion Web site www.mkp.com/gtcg.* Filled with robust, thoroughly tested solutions that will save you time and help you avoid costly errors.* Covers problems relevant for both 2D and 3D graphics programming.* Presents each problem and solution in stand-alone form allowing you the option of reading only those entries that matter to you.* Provides the math and geometry background you need to understand the solutions and put them to work.* Clearly diagrams each problem and presents solutions in easy-to-understand pseudocode.* Resources associated with the book are available at the companion Web site www.mkp.com/gtcg.
Download or read book Computers and Learning written by Joanne Capper and published by . This book was released on 1988 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Turtle Geometry written by Harold Abelson and published by MIT Press. This book was released on 1986-07-09 with total page 502 pages. Available in PDF, EPUB and Kindle. Book excerpt: Turtle Geometry presents an innovative program of mathematical discovery that demonstrates how the effective use of personal computers can profoundly change the nature of a student's contact with mathematics. Using this book and a few simple computer programs, students can explore the properties of space by following an imaginary turtle across the screen. The concept of turtle geometry grew out of the Logo Group at MIT. Directed by Seymour Papert, author of Mindstorms, this group has done extensive work with preschool children, high school students and university undergraduates.
Download or read book Geometric Programming for Communication Systems written by Mung Chiang and published by Now Publishers Inc. This book was released on 2005 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recently Geometric Programming has been applied to study a variety of problems in the analysis and design of communication systems from information theory and queuing theory to signal processing and network protocols. Geometric Programming for Communication Systems begins its comprehensive treatment of the subject by providing an in-depth tutorial on the theory, algorithms, and modeling methods of Geometric Programming. It then gives a systematic survey of the applications of Geometric Programming to the study of communication systems. It collects in one place various published results in this area, which are currently scattered in several books and many research papers, as well as to date unpublished results. Geometric Programming for Communication Systems is intended for researchers and students who wish to have a comprehensive starting point for understanding the theory and applications of geometric programming in communication systems.
Download or read book Geometric Programming Theory and Application written by Richard James Duffin and published by . This book was released on 1967 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Handbook of Research on Mathematics Teaching and Learning written by Douglas Grouws and published by IAP. This book was released on 2006-11-01 with total page 784 pages. Available in PDF, EPUB and Kindle. Book excerpt: Sponsored by the National Council of Teachers of Mathematics and written by leading experts in the field of mathematics education, the Handbook is specifically designed to make important, vital scholarship accessible to mathematics education professors, graduate students, educational researchers, staff development directors, curriculum supervisors, and teachers. The Handbook provides a framework for understanding the evolution of the mathematics education research field against the backdrop of well-established conceptual, historical, theoretical, and methodological perspectives. It is an indispensable working tool for everyone interested in pursuing research in mathematics education as the references for each of the Handbook's twenty-nine chapters are complete resources for both current and past work in that particular area.
Download or read book Programming Languages and Systems written by Jan Vitek and published by Springer. This book was released on 2015-03-31 with total page 851 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the proceedings of the 24th European Symposium on Programming, ESOP 2015, which took place in London, UK, in April 2015, held as Part of the European Joint Conferences on Theory and Practice of Software, ETAPS 2015. The 33 papers presented in this volume were carefully reviewed and selected from 113 submissions.
Download or read book Cscl written by Timothy Koschmann and published by Routledge. This book was released on 2012-10-12 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book, about a newly emerging area of research in instructional technology, has as its title the acronym "CSCL." Initially, CSCL was chosen as an acronym for Computer-Supported Collaborative Learning. However, some would argue that "collaborative" is often not a descriptive term for what learners do in instructional settings; further, as the field develops, the technology used to support collaboration may not always involve computers, at least not in the direct ways they have been used to support instruction in the past. To avoid getting bogged down in this terminological debate, this book uses CSCL as a designation in its own right, leaving open to interpretation precisely what words it stands for. The authors talk a great deal about the theory underlying their work. In part, this is because that is what they were asked to do, but it is also an indication of the state of the field. In an established paradigm in which the theories and methods are well agreed upon, such discussion is less central. CSCL, however, has not yet reached the stage of "normal" science. There is much to be worked out yet. This book is offered with the hope that it will help to define a direction for future work in this field. The chapters appear in alphabetical order (except for the introductory chapter and the afterword) -- not for lack of a better way to organize the chapters, but rather because the organizational possibilities are too numerous and this order does not privilege one over another. By not imposing a topical organizing structure on this collection, it is hoped that readers will feel freer to explore the chapters in a way that best suits their needs. COPY FOR BIND-CARD CD-ROM info ................................. There is an accompanying CD-Rom for this proceedings that will become available September 1998. Purchasers of the proceedings may obtain a copy of this CD-ROM at no cost by contacting Lawrence Erlbaum Associates, Inc. phone: (201) 236-9500 toll-free: 1-800-9-BOOKS-9 (1-800-926-6579) 9am-5pm EST fax: (201) 236-0072 e-mail: [email protected] Web site: www.erlbaum.com address: 10 Industrial Avenue, Mahwah, NJ 07430-2262 The CD-ROM was funded through a grant from the National Science Foundation.
Download or read book Geometric Computing Science written by Robert Hermann and published by . This book was released on 1991 with total page 414 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Learning from Computers Mathematics Education and Technology written by Christine Keitel-Kreidt and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 351 pages. Available in PDF, EPUB and Kindle. Book excerpt: The NATO Advanced Research Workshop on Mathematics Education and Technology was held in Villard-de-Lans, France, between May 6 and 11, 1993. Organised on the initiative of the BaCoMET (Basic Components of Mathematics Education for Teachers) group (Christiansen, Howson and Otte 1986; Bishop, Mellin-Olsen and van Dormolen 1991), the workshop formed part of a larger NATO programme on Advanced Educational Technology. Some workshop members had already participated in earlier events in this series and were able to contribute insights from them: similarly some members were to take part in later events. The problematic for the workshop drew attention to important speculative developments in the applications of advanced information technology in mathematics education over the last decade, notably intelligent tutoring, geometric construction, symbolic algebra and statistical analysis. Over the same period, more elementary forms of information technology had started to have a significant influence on teaching approaches and curriculum content: notably arithmetic and graphic calculators; standard computer tools, such as spreadsheets and databases; and computer-assisted learning packages and computer microworlds specially designed for educational purposes.
Download or read book Exploring Geometry written by Michael Hvidsten and published by CRC Press. This book was released on 2016-12-08 with total page 532 pages. Available in PDF, EPUB and Kindle. Book excerpt: Exploring Geometry, Second Edition promotes student engagement with the beautiful ideas of geometry. Every major concept is introduced in its historical context and connects the idea with real-life. A system of experimentation followed by rigorous explanation and proof is central. Exploratory projects play an integral role in this text. Students develop a better sense of how to prove a result and visualize connections between statements, making these connections real. They develop the intuition needed to conjecture a theorem and devise a proof of what they have observed. Features: Second edition of a successful textbook for the first undergraduate course Every major concept is introduced in its historical context and connects the idea with real life Focuses on experimentation Projects help enhance student learning All major software programs can be used; free software from author
Download or read book LEDA written by Kurt Mehlhorn and published by Cambridge University Press. This book was released on 1999-11-11 with total page 1050 pages. Available in PDF, EPUB and Kindle. Book excerpt: LEDA is a library of efficient data types and algorithms and a platform for combinatorial and geometric computing on which application programs can be built. In each of the core computer science areas of data structures, graph and network algorithms, and computational geometry, LEDA covers all (and more) that is found in the standard textbooks. LEDA is the first such library; it is written in C++ and is available on many types of machine. Whilst the software is freely available worldwide and is installed at hundreds of sites, this is the first book devoted to the library. Written by the main authors of LEDA, it is the definitive account, describing how the system is constructed and operates and how it can be used. The authors supply ample examples from a range of areas to show how the library can be used in practice, making the book essential for all workers in algorithms, data structures and computational geometry.
Download or read book Guide to Programs written by National Science Foundation (U.S.) and published by . This book was released on 1992 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt:
